Atkin-Lehner |
2- 3+ 5+ 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
42090n |
Isogeny class |
Conductor |
42090 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
Δ |
49912005600000000 = 211 · 36 · 58 · 23 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-229776,-41104527] |
[a1,a2,a3,a4,a6] |
j |
1341645643654669525249/49912005600000000 |
j-invariant |
L |
4.8082731455754 |
L(r)(E,1)/r! |
Ω |
0.21855787025819 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126270s2 |
Quadratic twists by: -3 |